Paper 2024/1419

On the Relationship between Public Key Primitives via Indifferentiability

Shuang Hu, The State Key Laboratory of Blockchain and Data Security, Zhejiang University, Hangzhou High-Tech Zone (Binjiang) Institute of Blockchain and Data Security
Bingsheng Zhang, The State Key Laboratory of Blockchain and Data Security, Zhejiang University, Hangzhou High-Tech Zone (Binjiang) Institute of Blockchain and Data Security
Cong Zhang, The State Key Laboratory of Blockchain and Data Security, Zhejiang University, Hangzhou High-Tech Zone (Binjiang) Institute of Blockchain and Data Security
Kui Ren, The State Key Laboratory of Blockchain and Data Security, Zhejiang University, Hangzhou High-Tech Zone (Binjiang) Institute of Blockchain and Data Security
Abstract

Recently, Masny and Rindal [MR19] formalized a notion called Endemic Oblivious Transfer (EOT), and they proposed a generic transformation from Non-Interactive Key Exchange (NIKE) to EOT with standalone security in the random oracle (RO) model. However, from the model level, the relationship between idealized NIKE and idealized EOT and the relationship between idealized elementary public key primitives have been rarely researched. In this work, we investigate the relationship between ideal NIKE and ideal one-round EOT, as well as the relationship between ideal public key encryption (PKE) and ideal two-round Oblivious Transfer (OT), in the indifferentiability framework proposed by Maurer et al.(MRH04). Our results are threefold: Firstly, we model ideal PKE without public key validity test, ideal one-round EOT and ideal two-round OT in the indifferentiability framework. Secondly, we show that ideal NIKE and ideal one-round EOT are equivalent, and ideal PKE without public key validity test are equivalent to ideal two-round OT. Thirdly, we show a separation between ideal two-round OT and ideal one-round EOT, which implies a separation between ideal PKE and ideal NIKE.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Published elsewhere. Minor revision. Inscrypt2024
Keywords
IndifferentiabilityIdealized ModelNIKEEndemic OTPKEOT
Contact author(s)
shuanghu @ zju edu cn
bingsheng @ zju edu cn
congresearch @ zju edu cn
kuiren @ zju edu cn
History
2024-11-17: last of 2 revisions
2024-09-11: received
See all versions
Short URL
https://ia.cr/2024/1419
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2024/1419,
      author = {Shuang Hu and Bingsheng Zhang and Cong Zhang and Kui Ren},
      title = {On the Relationship between Public Key Primitives via Indifferentiability},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1419},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1419}
}
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